Unit Rates
Steve drives 78 miles on 3 gallons of gas. Find the miles per gallon.
26 gallons per mile.
Pam can run four laps around the track in 330 seconds. Patrick can run two laps around the track in 160 seconds. Which person runs the fastest per lap and why?
Patrick because he runs a lap in 80 seconds and Pam runs it in 82.5 seconds, which is slower.
Determine the better buy.
18 ounces for $7.38
or
27 ounces for $15.39.
Show the rates.
18 ounces for $7.38.
2.44 oz/$ > 1.75 oz/$ more for same price
or
$0.41/oz < $57/oz cheaper price
If there are 8 fluid ounces = 1 cup, how many cups are in 48 fluid ounces?
6 cups
Suppose that a rainbow fist can swim 60 feet in 6 seconds. An angelfish can swim 45 feet in 2 seconds. Which fish can swim faster and by how much?
The angelfish swims 12.5 feet per second faster.
Walmart buys a case of 24 Takis bag for $20. What is the price per bag?
$1.20 per bag of Takis
Mrs. Carlson grades 50 papers in 12 minutes. Mrs. Hutchinson grades 120 papers in 30 minutes. Who grades more papers per minute?
Mrs. Carlson
Mrs. Carlson: 4.17 papers per min > Mrs. Hutchinson 4 papers per minute
Target and Walgreens are both having a sale on body spray. At Target you can buy 9 cans for $35.89 and at Walgreens you can buy 11 cans for $45.99. Which is the better buy?
Target.
Jack was trying to buy shoes for his friend Gary the Giant. Gary the Giant's footprint was measured at 4 and 1/3 yards long. How many feet long are Gary the Giant's shoes.
1 yard = 3 feet
13 feet
Andrey is helping to make dinner for his family. To make a sauce for the chicken, he will use 1.33 cup of broth per serving of chicken. He has a container with 1.65 cups of broth left. How many servings of chicken can Raul make sauce for?
5 servings of chicken. (or 5 1/4)
A skydiver falls 144 feet in three seconds. How far does the skydiver fall per second?
48 feet per second.
Suppose a helicopter travels 80 miles in 2 hours. A jet travels at 240 miles in 2 hours. How much faster does the jet travel than the helicopter?
helicopter--40 mph
jet--120 mph
120-40=80 mph faster
Same noticed that Rocky River Coffee sells a 20 ounce coffee for $5.32 and a 16 ounce coffee for $4.98. Which cup of coffee is cheaper per ounce? Show the rates.
20 ounce.
$0.27/oz < $0.31/oz
Lorena has a 12 inch board for constructing a wooden chair. The directions say to use a board that is 29 centimeters long. Is her board long enough to cut? Explain!
1 inch= 2.54 centimeters.
Yes. 12 x 2.54 = 30.48 which is bigger than 29 inches.
Ari earns $25.05 for 3 hours of tutoring. How much money does Ari earn each hour?
$8.35
A pump moves 42 gallons in seven minutes.
a) Find how many gallons per minute.
b) Find how many minutes per gallon.
Round to the hundredths place if needed.
a) 6 gallons per minute.
b) 0.17 minutes per gallon
Marcel drove 140 miles in 2 hours. Brandon drove 204 miles in 4 hours. Who drove at a faster rate (in miles per hour)? Show the rates.
Marcel
Marcel: 70 miles per hour > Brandon: 51 miles per hour
Determine which is the better buy.
22 staplers for $330
or
4 staplers for $80.
Show the rates.
22 staplers for $330.
$15/stapler < $20/stapler cheaper
Taylor works 7.5 hours per day, 5 days per week. How many minutes does Taylor work each week?
2250 minutes
The local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups of flour this morning. If there are 5 dozen cookies in each batch, how many cookies did the bakery make?
15 dozen
A cookie called for 4 cups of sugar and 3 cups of flour.
a) How many cups of sugar would you need per cup of flour?
b) How many cups of flour would you need per cup of sugar?
a) 4/3 or 1.33 cups of sugar per cup of flour
b) 3/4 or 0.75 cups of flour per cup of sugar
It took a car 3 hours to drive 210 miles and another car 2.5 hours to drive 180 miles. Which car drove at a faster rate? How much faster?
first car--210/3=70 mph
second car--180/2.5= 72 mph
The second car was faster by 2 mph.
Which is the better buy? 2.5 pounds of turkey for $6.25 or 3.33 pounds of turkey for $10.50?
Show the rates.
2.5 pounds of turkey for $6.25.
$2.5/pound < $3.17/pound
Troy runs 88 feet in 10 seconds. At this rate, how many miles does Troy run in an hour? (1 mile = 5280 feet)
6 miles in 1 hour
Suppose that a butterfly can fly 82 feet in 4 seconds. A dragonfly can fly 50 feet in 2 seconds. Which can fly faster and by how much?
The dragonfly is 4.5 feet per second faster than the butterfly.